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Finding the Fourth Proportional to 146,010.25, 201,494.05 and 82,347.90

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Solution

The fourth proportional to 146,010.25, 201,494.05 and 82,347.90 is: 113,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,010.25 : 201,494.05 = 82,347.90 : x
  2. Step 2: Convert to fraction form
    146,010.25/201,494.05 = 82,347.90/x
  3. Step 3: Cross multiply
    146,010.25x = 201,494.05 × 82,347.90
  4. Step 4: Simplify right side
    146,010.25x = 16,592,611,880.00
  5. Step 5: Solve for x
    x = 16,592,611,880.00/146,010.25
  6. Step 6: Final answer
    x = 113,640.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.